EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
3
,
find the value of
(
x
2
+
1
x
2
)
(i)
6
(ii)
9
(iii)
5
(iv)
7
(v)
8
Question
2
2.
If
(
x
+
1
x
)
=
4
,
find the value of
(
x
4
+
1
x
4
)
(i)
195
(ii)
193
(iii)
192
(iv)
196
(v)
194
Question
3
3.
If
(
x
−
1
x
)
=
8
,
find the value of
(
x
2
+
1
x
2
)
(i)
63
(ii)
69
(iii)
66
(iv)
67
(v)
65
Question
4
4.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
35
(ii)
34
(iii)
36
(iv)
31
(v)
33
Question
5
5.
If
(
x
2
+
1
x
2
)
=
23
,
find the value of
(
x
+
1
x
)
(i)
5
(ii)
6
(iii)
4
(iv)
2
(v)
7
Question
6
6.
If
(
x
4
+
1
x
4
)
=
194
,
find the value of
(
x
+
1
x
)
(i)
2
(ii)
7
(iii)
5
(iv)
3
(v)
4
Question
7
7.
If
(
x
2
+
1
x
2
)
=
11
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
2
(iii)
0
(iv)
6
(v)
3
Question
8
8.
If
(
x
4
+
1
x
4
)
=
727
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
2
(iii)
8
(iv)
5
(v)
6
Question
9
9.
If
(
x
−
1
x
)
=
7
,
find the value of
(
x
3
−
1
x
3
)
(i)
366
(ii)
365
(iii)
362
(iv)
364
(v)
363
Question
10
10.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
3
+
1
x
3
)
(i)
195
(ii)
197
(iii)
198
(iv)
199
(v)
201
Question
11
11.
If
(
2
x
+
1
2
x
)
=
7
,
find the value of
(
4
x
2
+
1
4
x
2
)
(i)
45
(ii)
48
(iii)
49
(iv)
47
(v)
46
Question
12
12.
If
(
5
x
−
1
3
x
)
=
3
,
find the value of
(
25
x
2
+
1
9
x
2
)
(i)
35
3
(ii)
37
3
(iii)
61
5
(iv)
13
Question
13
13.
If
(
4
x
−
1
3
x
)
=
7
,
find the value of
(
64
x
3
−
1
27
x
3
)
(i)
374
(ii)
369
(iii)
370
(iv)
371
(v)
372
Question
14
14.
If
(
a
+
b
)
=
8
,
a
b
=
12
, find
(
a
2
+
b
2
)
(i)
40
(ii)
41
(iii)
38
(iv)
39
(v)
42
Question
15
15.
If
(
a
2
+
b
2
)
=
52
,
a
b
=
24
, find
(
a
+
b
)
(i)
9
(ii)
10
(iii)
11
(iv)
13
(v)
7
Question
16
16.
If
(
a
−
b
)
=
1
,
a
b
=
12
, find
(
a
2
−
b
2
)
(i)
7
(ii)
8
(iii)
4
(iv)
10
(v)
6
Question
17
17.
If
(
a
2
−
b
2
)
=
12
,
a
b
=
8
, find
(
a
−
b
)
(i)
5
(ii)
1
(iii)
-1
(iv)
2
(v)
3
Question
18
18.
If
(
4
a
+
3
b
)
=
30
,
a
b
=
12
, find
(
16
a
2
+
9
b
2
)
(i)
611
(ii)
614
(iii)
612
(iv)
610
(v)
613
Question
19
19.
If
(
4
a
2
+
25
b
2
)
=
544
,
a
b
=
24
, find
(
2
a
+
5
b
)
(i)
31
(ii)
33
(iii)
32
(iv)
30
(v)
34
Question
20
20.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
3
+
b
3
)
(i)
244
(ii)
242
(iii)
246
(iv)
243
(v)
240
Question
21
21.
If
(
a
−
b
)
=
2
,
a
b
=
15
, find
(
a
3
−
b
3
)
(i)
100
(ii)
98
(iii)
99
(iv)
96
(v)
97
Question
22
22.
If
(
5
a
+
4
b
)
=
41
,
a
b
=
20
, find
(
125
a
3
+
64
b
3
)
(i)
19720
(ii)
19721
(iii)
19719
(iv)
19722
(v)
19723
Question
23
23.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
339
(ii)
338
(iii)
335
(iv)
336
(v)
337
Question
24
24.
If
(
a
4
+
b
4
)
=
337
,
a
b
=
12
, find
(
a
+
b
)
(i)
10
(ii)
5
(iii)
6
(iv)
8
(v)
7
Question
25
25.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
4
−
b
4
)
(i)
608
(ii)
610
(iii)
607
(iv)
611
(v)
609
Question
26
26.
If
(
4
a
+
2
b
)
=
28
,
a
b
=
20
, find
(
256
a
4
+
16
b
4
)
(i)
164097
(ii)
164099
(iii)
164094
(iv)
164096
(v)
164095
Question
27
27.
If
(
81
a
4
+
81
b
4
)
=
51921
,
a
b
=
10
, find
(
3
a
+
3
b
)
(i)
21
(ii)
22
(iii)
18
(iv)
20
(v)
23
Question
28
28.
If
(
a
+
b
+
c
)
=
14
,
(
a
2
+
b
2
+
c
2
)
=
74
, find
(
a
b
+
a
c
+
b
c
)
(i)
64
(ii)
62
(iii)
60
(iv)
61
(v)
58
Question
29
29.
If
(
a
+
b
+
c
)
=
7
,
(
a
b
+
a
c
+
b
c
)
=
16
, find
(
a
2
+
b
2
+
c
2
)
(i)
17
(ii)
15
(iii)
16
(iv)
19
(v)
18
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (ii)
5) (i)
6) (v)
7) (v)
8) (iv)
9) (iv)
10) (iii)
11) (iv)
12) (ii)
13) (iv)
14) (i)
15) (ii)
16) (i)
17) (iv)
18) (iii)
19) (iii)
20) (iv)
21) (ii)
22) (ii)
23) (v)
24) (v)
25) (v)
26) (iv)
27) (i)
28) (iv)
29) (i)
